1. **State the problem:** We need to determine if the lengths 0.2, 6.3, and 6.5 can form a triangle. 2. **Recall the triangle inequality theorem:** For any triangle with sides $a$, $b$, and $c$, the following must be true: $$ a + b > c, \quad a + c > b, \quad b + c > a $$ 3. **Assign the side lengths:** Let $a = 0.2$, $b = 6.3$, and $c = 6.5$. 4. **Check each inequality:** - $a + b = 0.2 + 6.3 = 6.5$; check if $6.5 > 6.5$? No, it is equal, not greater. - $a + c = 0.2 + 6.5 = 6.7$; check if $6.7 > 6.3$? Yes. - $b + c = 6.3 + 6.5 = 12.8$; check if $12.8 > 0.2$? Yes. 5. **Conclusion:** Since $a + b$ is not greater than $c$, the triangle inequality theorem is not satisfied. Therefore, the sides 0.2, 6.3, and 6.5 **cannot** form a triangle.